Heisenberg Uncertainty Relation (Indeterminacy Relations)
It is impossible to prepare states in which position and momentum are simultaneously arbitrarily well localized. In every state, the probability distributions of these ► observables have widths that obey an uncertainty relation.
It is impossible to make joint measurements of position and momentum. But it is possible to make approximate joint measurements of these observables, with inaccuracies that obey an uncertainty relation.
It is impossible to measure position without disturbing momentum, and vice versa. The inaccuracy of the position measurement and the disturbance of the momentum distribution obey an uncertainty relation.
KeywordsUncertainty Relation Uncertainty Principle Physical Review Letter Quantum Mechanical System Atom Interferometer
Unable to display preview. Download preview PDF.
- 8.Dürr, S., T. Nonn, G. Rempe: Origin of quantum-mechanical complementarity probed by ‘which-way’ experiment in an atom interferometer. Nature 395, 33–37 (1998). Dürr, S., G. Rempe: Can wave-particle duality be based on the uncertainty relation? American Journal of Physics 68, 1021–1024 (2000).CrossRefADSGoogle Scholar